2128851568000 has 256 divisors, whose sum is σ = 5496900963840. Its totient is φ = 819305625600.

The previous prime is 2128851567977. The next prime is 2128851568033. The reversal of 2128851568000 is 8651588212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46072909 + ... + 46119091.

It is an arithmetic number, because the mean of its divisors is an integer number (21472269390).

Almost surely, 2^{2128851568000} is an apocalyptic number.

2128851568000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2128851568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748450481920).

2128851568000 is an abundant number, since it is smaller than the sum of its proper divisors (3368049395840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2128851568000 is an equidigital number, since it uses as much as digits as its factorization.

2128851568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46322 (or 46300 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 46.

The spelling of 2128851568000 in words is "two trillion, one hundred twenty-eight billion, eight hundred fifty-one million, five hundred sixty-eight thousand".